UNSOLVED PROBLEMS

In Number Theory, Logic, and Cryptography

Twin Primes Conjecture

 

The twin primes conjecture states that there are an infinite number of pairs of primes of the form 2n-1, 2n+1. That is, they differ by 2; for example, 41 and 43.

 

The problem is to prove or disprove the conjecture.

 

For further information, please see:

[1] http://mathworld.wolfram.com/TwinPrimeConjecture.html

[2] http://en.wikipedia.org/wiki/Twin_prime_conjecture

[3] http://primes.utm.edu/glossary/page.php?sort=TwinPrimeConjecture

 

You can check for contributions to this problem on the solutions page.

 

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